Factor out the cos<span>θ:
</span>cosθ (2sin<span>θ + sqrt3) = 0
</span>Therefore, the only ways this can happen are if either cosθ = 0 or if (2sin<span>θ + sqrt3) = 0
</span>The first case, cosθ = 0 only at θ <span>= pi/2, 3pi/2.
</span>The second case, <span>(2sin<span>θ + sqrt3) = 0 simplifies to:
</span></span>sin<span>θ = (-sqrt3)/2
</span><span><span>θ = 4pi/3, 5pi/3
</span></span><span><span>Therefore the answer is A.
</span></span>
Answer:
Robyn model makes more sense and Marks is nonsense.
Step-by-step explanation:
In this question ,calculations not required .All we have to do is consider each model logically .
Marks
Marks model shows 20 rather than 2 which means 200 is 10 times as much as 20. It does not make any sense.
Robyn
Robyn model shows 2 which means 200 is 100 times as much as 2 and this is not only correct but also makes sense because 100 *2=200
Step-by-step explanation:
having denominator 6,
X/6= 2/3
X= 4
so, 4/6= 2/3
having numerator 10,
10/X= 2/3
X= 15
so, 10/15= 2/3
Answer:
30 is the cost of clothes Kyle bought.
Step-by-step explanation:
Given: Kyle spend 1/5 of his money on clothing.
Remaining money is 120.
Lets assume the total money Kyle had be "x".
∴ Money spent on clothes = 
Now, putting up value in the equation to find the total amount of money.
We know, money remaining is 120
Taking LCD subtract the fraction.
⇒ 
⇒ 
⇒
Multiplying 5 both side
⇒
dividing 4 on both side.
∴
∴ x= 150
Kyle has total 150 money to spend.
Kyle spent 
of his total money on clothing.
⇒ cost of clothes kyle bought= 
Hence, Kyle spent 30, which was the cost of clothes kyle bought.
Answer: The answer should be 9.2195
Step-by-step explanation:They tell us the point is 2.9 and they are asking the distance from the origin which is zero. So we can use pythagorean theorem. A²+B²=C² Look at it as a triangle. They have given us A and B, so you can find C² using those information. If you plot the point in the line you know that A=2 and B=9. Using the formula will be 2²+9²=C² ⇒ 4+81=C² ⇒ 85=C². To get rid of the power of 2 in c we have to square both side to cancel it out. C would equal 9.2195
